Using the graph, determine the equation of the axis of symmetry.

Using The Graph, Determine The Equation Of The Axis Of Symmetry.

Answers

Answer 1

Answer:

the answer is (-1, -9)

that is the axis of symmetry

Answer 2

This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

How to find the points symmetric over axes or origin?

Let the point be (x,y)

Case 1: Symmetry with respect to the x-axis

The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.

Case 2: Symmetry with respect to y-axis

The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.

Case 3: Symmetry with respect to origin

Origin is point at (0,0)

Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.

The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.

Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,

The point becomes (-x,-y)

The axis of symmetry is where the left side is the mirror image of the right side.

Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

It will be the x coordinate of the vertex

x = 1

Learn more about symmetry here:

https://brainly.com/question/7783612

#SPJ2


Related Questions


The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *

Answers

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

336 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the number students passed as Find the number of students who passed and the number who failed

Answers

288 students passed and 48 students failed

A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is

Answers

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

A certain isotope decays at a rate of 2%per 100 years. If t represent the time in years and y represent the amount of the isotope left then the equation for the situation is y=y0e^-0.0002t . In how many years will there be 86% of the isotope left?
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t

Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

Answers

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

What is proportionality?

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ3

Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678

Answers

Answer:2

Step-by-step explanation:22*

Answer:

5 = 25 = 5

6 = 36 = 6

7 = NA

8 = 81 = 9

PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero

Answers

Answer: b

Step-by-step explanation:

4ab

[tex]a>0[/tex] a will always be positive.

[tex]b<0[/tex] b will always be negative.

4(a)(-b)

-4ab

Answer:

the answer is A

Step-by-step explanation:

khan said so

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution

Answers

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Please help me I have to go to a class and I need this fast

Answers

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

I need help marking brainliest

1)


Increases as the habitat is increasingly polluted


2)


Decreases as the habitat is increasingly polluted


3)


Remains the same as prey population remains the same


4)


Remains the same as predator population remains the same

Answers

Answer:

2) Decreases as the habitat is increasingly polluted

Step-by-step explanation:

number 1 make no sense. 3; at the start, say the population is x. but taking into account the pesticide, it cant no longer ramain the same (pesticide kills some of the x) . 4; similar to the case for answer 3

Answer: 2

Explanation: 1 makes no sense. With 3 there would still be the pollution to worry about and there’s the same problem with 4. Because there is more pollution the cricket frogs would die out.

A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?

A. m/8
b. m-8
c. 8m
d. 8÷m

Answers

Answer:A Idk if this is right!

What is the correct answer

Answers

By the theorem,

48/20 = 36/x

x = 36(20)/48 =12(3)(4)(5)/((4)(12)) = 15

Answer: 15, second choice

Answer: 15
hope this help

Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?

Answers

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42

I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution

Answers

Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3

Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²

Answers

Answer:

B) 176 ft²

Step-by-step explanation:

asdasdddddddddddddddddasdasdasdasdsa

You can just use Socratic

NED HELP NOW 69 POINTS ​

Answers

Answer:

c

Step-by-step explanation:

I say c because i couldn't decide between c or d.

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Answers

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.​

Answers

Answer:

(C)The relationship is multiplicative  because the number of gallons can be

found by multiplying the number of  minutes by 8.

Step-by-step explanation:

Given the table below which shows the relationship between the number of minutes that a hose  has been on and the number of gallons of water that have been added to a  plastic pool.

[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]

We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be  found by multiplying the number of  minutes by 8.

The correct option is C.

Which choice is equivalent to the expression 4(x+2y)? I need it right now please!

Answers

Answer:

4x+8y

Step-by-step explanation:

you use distributive property

you multiply 4 times x

and 2y times 4

hope this helps

Find the inequality represented by the graph.
URGENTT

Answers

Answer:

y < 3/4x

Step-by-step explanation:

PLEASEEE HELP

Which table represents a linear function

Answers

The one on the bottom left represents a linear function

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY

Answers

Answer:

the answer is c

Step-by-step explanation:

What is the volume, in cubic m, of a rectangular prism with a height of 15m, a width of 4m, and a length of 13m?

Answers

Answer:

V = 780 m3

Step-by-step explanation:

Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?

Answers

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Five more than a certain number is 11 less than double the number

Answers

Answer:

The number is 16

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

11+5 = 2x-x

16 = x

9 is five more than 4 and (2x9=18) 18 is 11 less than 9

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4
Other Questions
How is being a member of the United Nations like being a citizen of the world community? Where do you see yourself in five years? Coast to Coast Surfboards Inc. manufactures and sells two styles of surfboards, Atlantic Wave and Pacific Pounder. These surfboards are sold in two regions, East Coast and West Coast. Information about the two surfboards is as follows:Atlantic Wave Pacific PounderSales price $280 $130Variable cost of goods sold per unit 220 97Manufacturing margin per unit $60 $33Variable selling expense per unit 32 18Contribution margin per unit $28 $15The sales unit volume for the sales territories and products for the period is as follows:East Coast West CoastAtlantic Wave 30,000 21,000Pacific Pounder 0 21,000Required:Prepare a contribution margin by sales territory report. Calculate the contribution margin ratio for each territory as a whole percent Which statement best describes the Roman Empire at the time Constantine came to power?It was enjoying a peaceful era.It was suffering from a period of unrest.It was emerging as an economic power.It was experiencing a period of expansionActivity Who founded the American Federation of Labor (AFL)?A. Samuel GompersB. Ida TarbellC. John MuirD. Jane Addams please help will give brainliest Find the arc length of the semicircle The coordinates for a quadrilateral are A(3, 5), B(7, 5), C(8, 3) and D(4, 3). Determine the type of quadrilateral.Group of answer choicesRectangleParallelogramSquareRhombus The polynomial f(x) is written in factored form:f(x) = (x - 3)(x + 8)(x - 11)What are the zeros of the polynomial function?O x = 3, x = 8, x = 11O x = 3, x = -8, x = 11OX=-3, x = 8, X = -11x = -3, x = 3, x = -8, x = 8, x= -11, x = 11 What is complementary base pairing? Explain why complementary base pairing is necessary to maintain the double helix shape of the DNA molecule. Why was Tet a political disaster for America? In 1968 The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of phone calls the office received that would round to 700 when rounded to the nearest 100? Find the mode of the data.41, 38, 37, 34, 37, 43, 37, 39, 41, 37 What characteristic makes a social group eusocial? if there are 5 apples to every 3 oranges in a bin which graph represents the proportional relationship of the fruit in the bin g Smiley Corporation wholesales repair products to equipment manufacturers. On April 1, 20Y1, Smiley issued $20,000,000 of five-year, 9% bonds at a market (effective) interest rate of 8%, receiving cash of $20,811,010. Interest is payable semiannually on April 1 and October 1. a. Journalize the entry to record the issuance of bonds on April 1, 20Y1. If an amount box does not require an entry, leave it blank. b. Journalize the entry to record the first interest payment on October 1, 20Y1, and amortization of bond premium for six months, using the straight-line method. If an amount box does not require an entry, leave it blank. c. Why was the company able to issue the bonds for $20,811,010 rather than for the face amount of $20,000,000? The market rate of interest is the contract rate of interest. Translate the word phrase into a math expression.15 fewer than the product of 4 and a number.A. (4+x)15B. 154xC. 4x15D. 4x15 Identifying Ways Rocks Change in the Rock Cycle Cycle of a rock. Arrows point from one stage to the next. Stage A, small, brown granules, to Compaction and cementation or Stage C. Arrow labeled Heat and pressure from Stage C to B, larger gray rocks. Arrow labeled Melting from Stage B to Magma. Arrow labeled Cooling from Magma to Igneous Rock. Arrow labeled Melting from Igneous Rock to Magma. Stage D arrows from Igneous Rock to Stage A, from Stage B to A, and from Stage C to A. Using the drop-down menus, label the parts of the rock cycle. A- sediment, sedimentary rock, or metamorphic rockB- sediment, sedimentary rock, or metamorphic rockC- sediment, sedimentary rock or metamorphic rockD- compaction and cementation, heat and pressure, or weathering and erosion According to the text, how have famous actors opinions of Shakespeare contributed to his fame? A condition in which less and less alcohol causes intoxication is called